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Finding the Third Proportional to 538,233.75 and 731,290.50

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Solution

The third proportional to 538,233.75 and 731,290.50 is: 993,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,233.75 : 731,290.50 = 731,290.50 : x
  2. Step 2: Convert to fraction form
    538,233.75/731,290.50 = 731,290.50/x
  3. Step 3: Cross multiply
    538,233.75x = 731,290.50 × 731,290.50
  4. Step 4: Simplify right side
    538,233.75x = 534,785,795,390.25
  5. Step 5: Solve for x
    x = 534,785,795,390.25/538,233.75
  6. Step 6: Final answer
    x = 993,593.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.